Acta Physica Sinica, Volume. 68, Issue 22, 220305-1(2019)
Fig. 1. The 1 D LC chain, in which a unit cell containing two inequivalent nodes A and B labeled by a dashed blue box. Each node A or B is grounded through a parallel connected inductor
Fig. 2. (a) Upper: increase the parameter of
from zero to exceed
, the end states (red) converge into the bulk states, indicating the topological transition. Bottom: the transition of winding number is consistent with the appearance and absence of end states. The effective polarization vector
winds the original a round when the momentum varies continuously from 0 to
for
(left), while zero round for
(right). (b) The electric potential distributions of two end states (green and puple) and a randomly selected bulk state (grey).
(a) 上: 电容
从0逐渐增加至超过
, 频谱中两个端点态(红线)在能
处消失, 表明系统发生了拓扑相变. 下: 系统缠绕数从1到0的跃变与端点态的消失临界值一致.
时系统的等效极化矢量在
平面上随动量参数
Fig. 3. Schematic setup of the 3 D LC circuit lattice. (a) LC honeycomb layers stacked along
Fig. 4. (a) Nodal line (red) and its projections (grey) on the (001), (010), and (100) planes. The parameters are set as
, and
. (b) Bands along Γ-
Fig. 5. (a) Four Weyl points in the Brillouin zone and their projections on (001), (010) and (100) direction.
,
, and
are used in the calculations. The other parameters are the same as
Fig. 6. The band gap,
as a function of the tolerance values for a
super cell, where
Get Citation
Copy Citation Text
Kai-Fa Luo, Rui Yu.
Received: Sep. 14, 2019
Accepted: --
Published Online: Sep. 17, 2020
The Author Email: